What is (3+sqrt(5))/(2-sqrt(5)) ?

The solution to (3+sqrt(5))/(2-sqrt(5)) is -11-5sqrt(5)

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simplify (3+sqrt(5))/(2-sqrt(5))

simplify

\frac{3 + 5}{2 - 5}

- 11 - 55

Decimal Notation

- 22.18033 \dots

Solution steps

\frac{3 + 5}{2 - 5}

Multiply by the conjugate

\frac{2 + 5}{2 + 5}

= \frac{( 3 + 5 ) ( 2 + 5 )}{( 2 - 5 ) ( 2 + 5 )}

Expand

(3 + 5) (2 + 5) : 11 + 55

Expand

(2 - 5) (2 + 5) : - 1

= \frac{11 + 5 5}{- 1}

\frac{11 + 5 5}{- 1} = - 11 - 55

= - 11 - 55

(r^{2} + 6 r + 5) (5 r^{2} + r - 5)

5 (3 - 4 x)^{2} - 8 (3 - 4 x) (5 x - 1)

x^{3} - x^{2} - x + 10

(- 2 + 5 i) - (3 - 2 i)

3 i (- 5 + 7 i)

What is (3+sqrt(5))/(2-sqrt(5)) ?
The solution to (3+sqrt(5))/(2-sqrt(5)) is -11-5sqrt(5)